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Finding the Third Proportional to 51,430.50 and 112,214.25

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Solution

The third proportional to 51,430.50 and 112,214.25 is: 244,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.50 : 112,214.25 = 112,214.25 : x
  2. Step 2: Convert to fraction form
    51,430.50/112,214.25 = 112,214.25/x
  3. Step 3: Cross multiply
    51,430.50x = 112,214.25 × 112,214.25
  4. Step 4: Simplify right side
    51,430.50x = 12,592,037,903.06
  5. Step 5: Solve for x
    x = 12,592,037,903.06/51,430.50
  6. Step 6: Final answer
    x = 244,836.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.